#series comparison test

17 messages · Page 1 of 1 (latest)

lime orbit
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How do I determine the convergence/divergence of these two series with the direct comparison test? I'm having a little trouble understanding..

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random valveBOT
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  1. Wait patiently for a helper to come along.
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vestal mirage
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  1. Consider the series 5/2n^2
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Then consider 1/x•sqrt(x) for 2, what can you prove

lime orbit
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3n^2?
Is that what i compare it to? Like those two
I'm having trouble because idk how to figure out what to compare it TO

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Y did u choose THAT

vestal mirage
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Lemme be more specific

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Compare sum(5/2n^2) to question 4 and find whether sum(5/2n^2) converges or not

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Then do the same for 1/x•sqrt(x) and question 5

lime orbit
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I know that u meant that
But why those specific ones

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Sorry. I am literally completely lost in this lesson

vestal mirage
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Because finding whether they converge or not is quite easy

lime orbit
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Okkiei so u chose the SIMPLEST...

vestal mirage
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Choose a sum that’s obviously bigger/smaller than the one in question and that’s easy to find convergence

lime orbit
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OH

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I am so brai...deas